I'm sure if my grandma saw something like that, she wouldn't click it. This way, people who want to stay in a closed garden are protected, while those who want full control have it. The current implementation seems designed for state interests, not the people's.
It shouldn't be impossible. Not every FOSS developer will want to register, or be mature enough, or may be from sanctioned countries, and so forth.
One of the issues is that perhaps they should also check the software in the official app stores better (I think I had read that Apple does a little bit, although they don't do it so well either, and they don't have side-loading so that is another problem).
However, perhaps a more significant issue is when something requires having Android (or iPhone) even if you do not want that, you cannot use your own (or none at all, if that would make sense which sometimes it does).